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Finding the Fourth Proportional to 9,972.74, 13,761.76 and 5,496.53

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Solution

The fourth proportional to 9,972.74, 13,761.76 and 5,496.53 is: 7,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.74 : 13,761.76 = 5,496.53 : x
  2. Step 2: Convert to fraction form
    9,972.74/13,761.76 = 5,496.53/x
  3. Step 3: Cross multiply
    9,972.74x = 13,761.76 × 5,496.53
  4. Step 4: Simplify right side
    9,972.74x = 75,641,891.21
  5. Step 5: Solve for x
    x = 75,641,891.21/9,972.74
  6. Step 6: Final answer
    x = 7,584.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.